For the accompanying data set,
(a) draw a scatter diagram of the data,
(b) compute the correlation coefficient, and
(c) determine whether there is a linear relation between x and y. LOADING... Click the icon to view the data set. LOADING...
Click the icon to view the critical values table.
(a) Draw a scatter diagram of the data. Choose the correct graph below.
A. 0 10 0 10 x y A scatter diagram has a horizontal xaxis labeled from 0 to 10 in increments of 1 and a vertical yaxis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 2); (6, 4); (6, 8); (7, 1); (9, 5).
B. 0 10 0 10 x y A scatter diagram has a horizontal xaxis labeled from 0 to 10 in increments of 1 and a vertical yaxis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 8); (6, 2); (6, 6); (7, 9); (9, 5).
C. 0 10 0 10 x y A scatter diagram has a horizontal xaxis labeled from 0 to 10 in increments of 1 and a vertical yaxis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 8); (6, 2); (6, 6); (7, 4); (9, 5).
D. 0 10 0 10 x y A scatter diagram has a horizontal xaxis labeled from 0 to 10 in increments of 1 and a vertical yaxis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 2); (6, 4); (6, 8); (7, 6); (9, 5).
(b) Compute the correlation coefficient. The correlation coefficient is r = _______. (Round to three decimal places as needed.)
(c) Determine whether there is a linear relation between x and y. Because the correlation coefficient _____ is __________ ▼ (negative, positive) and the absolute value of the correlation coefficient, nothing, is _______▼( greater, not greater) than the critical value for this data set, _____ nothing,_________ ▼ (a positive, a negative, no) linear relation exists between x and y. (Round to three decimal places as needed.)
x 
2 
4 
6 
6 
7 


y 
4 
8 
12 
14 
18 
Critical Values for Correlation Coefficient
n 


3 
0.997 
4 
0.950 
5 
0.878 
6 
0.811 
7 
0.754 
8 
0.707 
9 
0.666 
10 
0.632 
11 
0.602 
12 
0.576 
13 
0.553 
14 
0.532 
15 
0.514 
16 
0.497 
17 
0.482 
18 
0.468 
19 
0.456 
20 
0.444 
21 
0.433 
22 
0.423 
23 
0.413 
24 
0.404 
25 
0.396 
26 
0.388 
27 
0.381 
28 
0.374 
29 
0.367 
30 
0.361 
n 
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